The form of a polynomial is ax^2 + bx +c, so in the given equation 4x^2 + 4x +1:
a = 4
b = 4
c= 1
The formula for the discriminant is b^2 -4ac
replace the letters with the equivalent numbers and solve:
4^2 -4*4*1 = 16 - 16 = 0
The discriminant = 0.
The answer is D.